2682449708400 has 2880 divisors, whose sum is σ = 12957170688000. Its totient is φ = 519673190400.

The previous prime is 2682449708299. The next prime is 2682449708413. The reversal of 2682449708400 is 48079442862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 8737621047 + ... + 8737621353.

It is an arithmetic number, because the mean of its divisors is an integer number (4499017600).

Almost surely, 2^{2682449708400} is an apocalyptic number.

2682449708400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2682449708400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478585344000).

2682449708400 is an abundant number, since it is smaller than the sum of its proper divisors (10274720979600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2682449708400 is a wasteful number, since it uses less digits than its factorization.

2682449708400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2682449708400 in words is "two trillion, six hundred eighty-two billion, four hundred forty-nine million, seven hundred eight thousand, four hundred".